PHYSICAL REVIEW C 76, 027603 (2007)
Experimental investigation of fusion of
7
Li+
28
Si above the Coulomb barrier
Mandira Sinha,
1,2
H. Majumdar,
1,*
R. Bhattacharya,
2
P. Basu,
1
Subinit Roy,
1
M. Biswas,
1
R. Palit,
3
I. Mazumdar,
3
P. K. Joshi,
3
H. C. Jain,
3
and S. Kailas
4
1
Saha Institute of Nuclear Physics, 1/AF, Bidhan Nagar, Kolkata-700064, India
2
Gurudas College, Narikeldanga, Kolkata-700054, India
3
Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai-400005, India
4
Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai-400085, India
(Received 8 May 2007; published 20 August 2007)
Excitation functions for the above-barrier fusion cross sections are measured for the first time for the
7
Li+
28
Si
system by two methods—the characteristic γ -ray method and the evaporation α measurement method—in
the energy range E
lab
= 11.5–26 MeV. Experimental results are consistent and agree with each other, and the
one-dimensional Barrier Penetration Model (BPM) predictions describe the data well up to twice the Coulomb
barrier, but they overestimate the data by about 15–20% at higher energies.
DOI: 10.1103/PhysRevC.76.027603 PACS number(s): 25.60.Pj, 25.70.Gh, 25.70.Jj
Understanding the reaction dynamics of loosely bound
stable projectiles at near-barrier energies have attracted much
interest in recent years not only because of the new insights
provided by them into the mechanisms but also because
these nuclei are viewed as precursors to more exotic ra-
dioactive nuclei with “haloes” or “skins.” Some of the novel
experimental information obtained involving weakly bound
nuclei are fusion enhancement or suppression, increase of
breakup cross sections compared with tightly bound stable
projectiles, weakening or absence of a threshold anomaly, or
the occurrence of a new type of threshold anomaly related
to the energy dependence of optical model potentials in the
neighborhood of the barrier [1–10].
Theoretical studies [11–15] have also investigated the
correlation between the weakly bound cluster structure of these
nuclei and the dynamics of the reactions. These studies present
a somewhat conflicting picture regarding the magnitude of
fusion cross section (enhancement/suppression) at near-barrier
energies and their dependence on the bombarding energy
above the barrier. Besides the subbarrier and near-barrier
fusion and the associated controversies, the scenario of
fusion reaction involving weakly bound projectiles at above-
barrier energies is also not clear and conclusive. One of the
observations is that the breakup does not affect fusion [16]
at above-barrier energies. The argument is that for breakup
to affect fusion, it has to occur at a lower partial wave
region. However, in this angular momentum region, breakup
is followed by incomplete fusion (ICF) at higher energies,
and the sum of complete fusion (CF) and incomplete fusion
(ICF), i.e., the total fusion, remains unaffected. The total
fusion (ICF+CF) agrees well with the well-accepted barrier
penetration model prediction. This observation, however, does
not really corroborate the results of Refs. [17–19]. The
general finding in these investigations points toward an overall
inhibition of fusion cross section at above-barrier energies,
especially for light mass targets. It is to be emphasized, in this
*
harashit.majumdar@saha.ac.in
context, that the ICF contribution for medium mass targets at
above-barrier energies was found to be negligible [20].
There have been a number of complementary experimental
investigations on scattering, e.g., for
6,7
Li+
27
Al and
28
Si [21–
23], and on reaction and fusion, e.g., for
6,7
Li+
27
Al [16,24],
6
Li+
28
Si [25,26],
9
Be+
27
Al,
28
Si [25,27], and
6,7
Li+
59
Co [6],
in the target mass range A ∼ 20–60. But these measurements
are mainly confined to the Coulomb barrier probing the effect
of breakup on scattering and fusion in the near-barrier energies.
Very few of these data extend beyond twice the barrier energy.
However, no fusion measurement exists for the
7
Li+
28
Si
system. We present in this article our measurement of fusion
cross sections for the
7
Li+
28
Si system at several energies
extending from the Coulomb barrier to well above twice the
barrier value.
The total fusion excitation function of the
7
Li+
28
Si system
was measured using the characteristic γ -ray method. The
experiment was carried out at the Bhabha Atomic Research
Centre -Tata Institute of Fundamental Research (BARC-TIFR)
14UD Pelletron accelerator with a
7
Li (3
+
) beam at the
energies E
lab
= 11.5, 12.5, 14, 16, 18, 20, 22, 24, and 26 MeV.
Beam intensity was of the order of 5–20 pnA. A small thin-
walled aluminum chamber was used to house the target, which
consisted of 192 μg/cm
2
natural silicon sandwiched between
two thin gold layers (40 and 100 μg/cm
2
) to prevent oxidation
and was prepared using a vacuum evaporation technique.
The average energy loss in the target is about 200 keV. The
characteristic γ rays emitted from the evaporation residues
were detected using a Compton suppressed Clover detector
placed at 55
◦
with respect to the beam direction. Efficiency
runs were taken at both the beginning and the end of the
main experiment with a number of standard sources, i.e.
152
Eu,
133
Ba, and
207
Bi, spanning the energy range 85–1770 keV. The
absolute efficiency in the add-back mode of the detector was
measured with
152
Eu and
133
Ba standard radioactive calibrated
sources placed at the target position. Target thickness was
measured with the α energy loss method with a three-line
α source, and the estimated uncertainty was about 5%. The
background was measured at each energy with and without
beam using a blank tantalum frame in place of the target.
0556-2813/2007/76(2)/027603(4) 027603-1 ©2007 The American Physical Society